653161248 has 36 divisors (see below), whose sum is σ = 1857428118. Its totient is φ = 217720320.

The previous prime is 653161247. The next prime is 653161253. The reversal of 653161248 is 842161356.

It is a happy number.

653161248 is a `hidden beast` number, since 6 + 5 + 31 + 612 + 4 + 8 = 666.

653161248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 593994384 + 59166864 = 24372^2 + 7692^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (653161247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1133673 + ... + 1134248.

Almost surely, 2^653161248 is an apocalyptic number.

It is an amenable number.

653161248 is an abundant number, since it is smaller than the sum of its proper divisors (1204266870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653161248 is a wasteful number, since it uses less digits than its factorization.

653161248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267937 (or 2267926 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 653161248 is about 25557.0195445400. The cubic root of 653161248 is about 867.6411408465.

It can be divided in two parts, 65316 and 1248, that added together give a square (66564 = 258²).

The spelling of 653161248 in words is "six hundred fifty-three million, one hundred sixty-one thousand, two hundred forty-eight".